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Finding the Fourth Proportional to 588.53, 880.67 and 511.79

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Solution

The fourth proportional to 588.53, 880.67 and 511.79 is: 765.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    588.53 : 880.67 = 511.79 : x
  2. Step 2: Convert to fraction form
    588.53/880.67 = 511.79/x
  3. Step 3: Cross multiply
    588.53x = 880.67 × 511.79
  4. Step 4: Simplify right side
    588.53x = 450,714.98
  5. Step 5: Solve for x
    x = 450,714.98/588.53
  6. Step 6: Final answer
    x = 765.83

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.